38381472138240 has 3520 divisors, whose sum is σ = 184326683904000. Its totient is φ = 7549761945600.

The previous prime is 38381472138239. The next prime is 38381472138257. The reversal of 38381472138240 is 4283127418383.

It is a happy number.

38381472138240 is a `hidden beast` number, since 3 + 8 + 3 + 81 + 472 + 13 + 82 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3520).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 29730031995 + ... + 29730033285.

It is an arithmetic number, because the mean of its divisors is an integer number (52365535200).

Almost surely, 2^{38381472138240} is an apocalyptic number.

38381472138240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38381472138240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92163341952000).

38381472138240 is an abundant number, since it is smaller than the sum of its proper divisors (145945211765760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38381472138240 is a wasteful number, since it uses less digits than its factorization.

38381472138240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 38381472138240 in words is "thirty-eight trillion, three hundred eighty-one billion, four hundred seventy-two million, one hundred thirty-eight thousand, two hundred forty".